A Priori and A Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation |
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| Authors: | Ningning Yan Zhaojie Zhou |
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| Affiliation: | LSEC, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Science, Beijing 100080, China. |
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| Abstract: | In this paper, we investigate a streamline diffusion finite element approximation scheme for the constrained optimal control problem governed by linear convection dominated diffusion equations. We prove the existence and uniqueness of the discretized scheme. Then a priori and a posteriori error estimates are derived for the state, the co-state and the control. Three numerical examples are presented to illustrate our theoretical results. |
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| Keywords: | Constrained optimal control problem convection dominated diffusion equation streamline diffusion finite element method a priori error estimate a posteriori error estimate |
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